Search a number
-
+
225067730081 is a prime number
BaseRepresentation
bin1101000110011100010…
…1010000010010100001
3210111221100122022111212
43101213011100102201
512141414314330311
6251221130315505
722155250066115
oct3214705202241
9714840568455
10225067730081
11874a59588a7
1237752888b95
13182ba8aac5c
14ac71459745
155cc4074c8b
hex34671504a1

225067730081 has 2 divisors, whose sum is σ = 225067730082. Its totient is φ = 225067730080.

The previous prime is 225067730047. The next prime is 225067730099. The reversal of 225067730081 is 180037760522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178894315681 + 46173414400 = 422959^2 + 214880^2 .

It is a cyclic number.

It is not a de Polignac number, because 225067730081 - 222 = 225063535777 is a prime.

It is a super-2 number, since 2×2250677300812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225067730021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112533865040 + 112533865041.

It is an arithmetic number, because the mean of its divisors is an integer number (112533865041).

Almost surely, 2225067730081 is an apocalyptic number.

It is an amenable number.

225067730081 is a deficient number, since it is larger than the sum of its proper divisors (1).

225067730081 is an equidigital number, since it uses as much as digits as its factorization.

225067730081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 225067730081 in words is "two hundred twenty-five billion, sixty-seven million, seven hundred thirty thousand, eighty-one".